Atlas1,404 of 3,942

II.C.213

From Li & Liao (2017)

II.C.213 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 105.53 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 543.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0105 of each other at a top speed of 9.77, line up 102 times a period, and the computed loop closes to 8.0×10⁻²⁶.

Measured over one period

Period: 105.5334667
Masses: 1 : 1 : 1
Energy: -1.30200
Angular momentum: 0
Closest approach: 0.01050
Top speed: 9.765
Path length: 272.57
Alignments per period: 102
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 543.5)
Loop closure: 8.0×10⁻²⁶

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.